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HAL Id: inserm-00369925

https://www.hal.inserm.fr/inserm-00369925

Submitted on 23 Mar 2009

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High reproducibility of two-dimensional liquid

chromatography using pH-driven fractionation with a

pressure-resistant electrode.

Elsa Suberbielle, Daniel Gonzales-Dunia, Frédéric Pont

To cite this version:

Elsa Suberbielle, Daniel Gonzales-Dunia, Frédéric Pont. High reproducibility of two-dimensional liquid chromatography using pH-driven fractionation with a pressure-resistant electrode.: High reproducibil-ity of two-dimensional liquid chromatography using pH-driven fractionation with a pressure-resistant electrode.. Journal of Chromatography B - Analytical Technologies in the Biomedical and Life Sci-ences, Elsevier, 2008, 871 (1), pp.125-9. �10.1016/j.jchromb.2008.06.043�. �inserm-00369925�

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High reproducibility of two-dimensional liquid chromatography

separation of intact proteins using pH-driven fractionation with a

pressure-resistant electrode

Elsa Suberbielle1, Daniel Gonzalez-Dunia1 and Frédéric Pont2*

1,2

INSERM, U563, Toulouse, France; 1,2Université Paul-Sabatier, Toulouse, France;

2

Plateau Technique de Spectrométrie de Masse, Institut Claude de Préval (IFR30),

Toulouse, France.

*To whom correspondence should be addressed: Service de Spectrométrie de

Masse de l'IFR30, Bât B Pavillon Lefèbvre, CHU Purpan, BP 3028, 31024 Toulouse

Cedex 3, France. Phone: +33 5 6274 8398; Fax: +33 5 6274 8384; Email:

frederic.pont@toulouse.inserm.fr

Running title: two-dimensional liquid chromatography reproducibility in proteomics

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The abbreviations used are: 2D-LC, two-dimensional liquid chromatography; 2-DE,

two-dimensional gel electrophoresis; HPLC, high performance liquid

chromatography; MS, mass spectrometry; HPCF, high performance

chromatofocusing; RPHPLC, reverse phase high performance liquid

chromatography; NPS, non-porous silica; ACN, acetonitrile; TFA, tri-fluoro-acetic

acid.

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Abstract

Two-dimensional liquid chromatography using the PF2D system from Beckman

Coulter is increasingly used in proteomics to provide an automated fractionation

platform and to circumvent some limitations of fractionation using 2-D

electrophoresis. To date, the reliability and reproducibility of the PF2D fractionation

procedure has not been formally tested. Here, we used an optimized software and a

pressure-resistant pH electrode, allowing a precise and reproducible control of the pH

limits for each fractions. We tested the reliability of this improved system by

performing several rounds of PF2D using aliquots of the same protein extract. Three

UV maps were generated, leading to 54 chromatograms and more than 3000 protein

peaks. We used a semi-automated software tool for peak-to-peak comparison

between 2D-LC fractionation experiments to provide an accurate measurement of the

reproducibility. The mean peak concordance was very high. The rates of

concordance were higher in the second dimension repeatability tests, indicating that

the limiting factors in 2D-LC reproducibility rely in the pI fractionation and sample

preparation steps. The reproducibility between maps was closely related to pH curves

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similarities, further stressing the need of careful pH adjustment and precise electrode

calibration. Combined with good laboratory practice, 2D-LC using the PF2D system is

a reproducible fractionation platform well suited for differential proteomics.

(6)

Introduction

One of the main challenges in proteomics centers on the ability to generate a

reproducible fractionation of the protein samples. Indeed, the discovery of novel

biomarkers, together with studies of disease pathogenesis, such as for cancer, rely

on differential proteomics i.e., on the accurate comparison between control and

pathological situations (1). Although the resolution and speed of mass spectrometers

have been significantly improved these recent years, protein fractionation still

represents a limiting step in a proteomic study. Indeed, it has been shown that the

improvement of the fractionation step significantly increases the number of proteins

that can be subsequently analyzed by a mass spectrometer, thereby resulting in a

dramatic increase of the dynamic range of an analysis (2). To date, there is no single

fractionation strategy that has demonstrated the capacity to cover the whole

proteome, but several complementary approaches are now available. Protein

fractionation has been traditionally performed using 2-DE. However, this

franctionation method exhibits several limitations. It often restricts the analysis to the

most abundant proteins, has demonstrated a relative lack of reproducibility and has

trouble resolving proteins of extreme hydrophobicity, mass or isoelectric point (pI) (3,

4). To circumvent these limitations and to provide an alternative to 2-DE, liquid-based

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2D liquid chromatographic (2D-LC) systems have been developed (5). The recent

availability of an automated system based on 2D-LC, the Proteome-LabTM PF2D from

Beckman Coulter, facilitates the effective implementation of a 2D-LC experiment. The

PF2D system separates proteins in the first dimension according to their pI using

chromatofocusing, followed by a fractionation according to hydrophobicity, using

reversed phase chromatography in the second dimension. The pI-based

fractionation, as performed during the first dimension of the PF2D (and in 2-DE), has

been shown to be especially useful to study proteins post-translational modifications,

such as phosphorylation (6). Several recent proteomic studies comparing the

different available fractionation strategies have shown that the different technologies

are highly complementary, with a remarkably low number of common proteins

identified by all technologies (7, 8). However, it seems clear that 2D-LC allows the

identification of more proteins than 2D-gels and may be more suited for novel protein

discovery (7, 8).

Automated 2D-LC fractionation, such as that provided by the PF2D system, is

relatively new and the reliability and reproducibility of this fractionation procedure

remains to be formally assessed and quantified accurately. It was shown that PF2D

could generate relatively reproducible UV profiles, based on the visual examination of

the chromatograms (9-11). However, a certain level of variability was due to the

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dynamic nature of the pI fractionation in the first dimension fractionation. As a result,

the pH limits of the fractionation gradient could not be fixed, leading sometimes to

small shifts in fractionation. In this work, we present a systematic assessment of the

reproducibility of PF2D fractionation, using an improved methodology for the first

dimension fractionation. We used a software patch, ensuring that all fractionation

experiments would start at the exact same pH value. In addition, we used a prototype

pH electrode allowing the accurate pH measurement under pressure. We tested the

reliability of this improved system by performing several rounds of PF2D fractionation

using aliquots of the same protein extract. We used a semi-automated software tool

for peak-to-peak comparison between 2D-LC fractionation experiments, facilitating

the systematic analysis of more than 3000 peaks. We provide herein the first formal

demonstration of the high level of reproducibility of PF2D fractionation, which

underscores the interest of this fractionation method for studies of differential

proteomics.

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Experimental

Cell cultures - Vero E6 cells (ATCC CRL-1586) were grown to confluence in DMEM

(Gibco-Invitrogen), supplemented with 10% heat-inactivated fetal calf serum (PAA)

and 1X Bufferall (Sigma-Aldrich). Cells (140 x 106) were harvested by scraping,

washed once in Phosphate Buffered Saline (Invitrogen) and recovered by

centrifugation for 5 min. at 430 x g at room temperature. Cell pellets were then

resuspended in lysis buffer (ProteomeLabTM PF2D, Beckman) containing a cocktail of

protease inhibitors (Sigma-Aldrich) and lysis was performed according to the

ProteomeLabTM PF2D human cell lysis protocol. Protein concentration was

determined using the 2D quant protein assay (Amersham, Biosciences, Piscataway,

NJ, USA). Aliquots of cell extracts were stored at -80 °C until ready for use.

Liquid chromatography - Prior to chromatofocusing, an aliquot of the cell extract was

thawed, desalted on a PD-10 SephadexTM G-25 gel filtration column with a 5 kDa

cut-off (Amersham Biosciences, Piscataway, NJ, USA) and eluted using the

chromatofocusing Start Buffer. 1.5 mg of protein extract was used in each 2D-LC

experiment. 2D-LC was performed using the ProteomeLabTM PF2D Protein

Fractionation System (Beckman Coulter, Fullerton, CA, USA), which consists of two

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HPLCs, two UV detectors, an auto sampler and a fraction collector. The first

dimension fractionation of PF2D consists in chromatofocusing, based on charge.

After collection of the fractions from the first dimension in the collector module, each

of them is automatically introduced into the second dimension reversed phase

chromatography column, which separates proteins based on their hydrophobicity. The

fractions can be finally collected into 96-deep-well plates.

Chromatofocusing was performed on an HPCF 1-D column (250 x 2.1 mm, Beckman

Coulter). This first dimension HPLC module was equipped with a 5 ml sample loop.

The signal was recorded at 280 nm. The pH gradient was generated using Start

Buffer (pH 8.5) and Elution Buffer (pH 4), both included in the ProteomeLabTM PF2D

kit. The chromatofocusing column was first equilibrated for 130 minutes with Start

Buffer at pH 8.5 at a flow rate of 0.2 ml/min, before being loaded with 1.5 mg of the

desalted protein extract. The flow-through was collected and after a stable baseline

was established (35 minutes), a linear pH gradient was initiated by infusing the

elution buffer for 95 minutes with a constant flow rate of 0.2 ml/min. The proteins with

a pI < 4 were finally eluted by washing the column with 1 M NaCl. A software patch

(SP1 Beckman Coulter) was used to ensure that each fraction collection experiment

would start at a pH value of 8.3. Fraction collection from the first dimension was

controlled with an in-line pH meter equipped with a prototypic pressure-resistant pH

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electrode (replacement kit p/n A48657). Fractions were collected every 10 min,

except during the pH gradient portion of the run, from pH 8.5 to 4.0, when fractions

were collected at 0.3 pH unit-intervals.

The second dimension analysis used a nonporous RPHPLC using a C18 column (4.6

x 33 mm, Beckman Coulter) packed with 1.5 µm non-porous silica and kept at 50 °C

in a heated column jacket. Eighteen fractions from the first dimension were injected in

the NPS-C18 column and eluted using a water/acetonitrile gradient at 0.75 ml/min.

The injection volume was between 50 and 500 µl depending on the protein

concentration in the first dimension fraction. Solvent A was 0.1% TFA in water and

solvent B was 0.08% TFA in ACN. The gradient consisted in 100% solvent A for 2

minutes, 0-100% solvent B for 30 min and 100% solvent B for 4 minutes. The UV

signal was recorded a 214 nm.

Chromatogram analysis - Chromatograms were integrated using the 32Karat software

(Beckman Coulter, Fullerton, CA, USA). Data containing the surfaces and retention

times of the peaks were exported as a text file and a peak-to-peak analysis was

performed using the 4.020 version of the GC-LC-concordance software

(Spectrochrom, Bouc Bel Air, France. http://www.spectrochrom.com/). Briefly, this

software converts the chromatograms into histograms and performs pair-wise

comparisons. The software automatically finds the best quadratic equation to model

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the peak positions using the retention time tolerance and the equation order specified

by the operator. A surface ratio between concordant peaks can also be calculated

and used as a constraint to exclude peaks. The retention time tolerance was set to

5% and the surface of the peaks analyzed was set between 0.1% and 100% of the

largest peak area. The percentage of concordance between the chromatogram A and

B was calculated as follows:

% concordance = (number of peaks in chromatogram A concordant with

chromatogram B x 100) / (total number of peaks in chromatogram B)

In addition to the peak-to-peak analysis using the GC-LC-concordance software,

each concordant peak was visually examined and validated. When required, some

peaks were manually integrated, in particular when a shoulder was not correctly

detected by the automated analysis.

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Results and discussion

Sample preparation: the procedure used for sample preparation is an important

parameter that can drastically affect reproducibility and is particularly important

during the design of a differential proteomic study. For our repetitive 2D-LC maps, we

prepared aliquots of the same cellular extract that were stored in the lysis buffer at

-80 °C, to limit the risks of protein degradation. The simultaneous preparation of the

cellular extracts for all repetitive PF2D rounds allowed us to ensure that any residual

proteolysis occurring during the lysis procedure would be similar for all experiments,

thereby limiting the addition of another variable in the analysis. However, the last

steps of desalting/gel filtration of the sample were performed prior to each

fractionation experiment, to match the conditions of a differential proteomic study, in

which these steps are mandatory and could be responsible for a decrease in

reproducibility.

Chromatofocusing fractionation: One of the limitations of the chromatofocusing step

in the PF2D system is the difficulty to precisely control the pH gradient from one run

to another. Although the fraction collector is triggered by an online pH meter, there is

still a significant level of variability, due to the difficulty to measure accurately a pH

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value under pressure. Indeed, the pH electrode has been designed to detect

accurately pH changes, but not necessarily to record precise pH values. As a result,

the repeatability of this fractionation step is completely dependent on the repeatability

of the pH gradients. In addition, the pH limits of the fractions are not exactly similar

between maps, which further complicates the analysis. In this work, we have

implemented two significant improvements to the PF2D chromatofusing step. First,

we used a novel prototypic electrode (p/n A48657) that has been designed not only to

accurately measure changes in pH, but also to give accurate pH measurements

under pressure. With this new electrode, the pH value under pressure was 8.51 ±

0.01 at the beginning of the gradient for all three experiments (Figure 1). This pH

value measured at a calibrated bench pH meter was 8.55, indicating that the

accuracy of the measurements under pressure is in the range of 0.04 pH units.

Second, we used a software patch, which enables the fractions to start precisely at

pH 8.30 for each experiment. Consequently, the pH limits for each fraction are exactly

the same between experiments (Figure 1), provided that the collection volume is not

limiting. As a matter of fact, we increased the collecting time to 10 minutes, because

we observed that the volume could be limiting for some fractions of the gradient with

the usually recommended collecting time of 8.5 min. Indeed, reproducibility was

improved when comparing a collecting time of 10 minutes and 8.5 minutes (data not

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shown).

Chromatogram concordance analysis: A total of 54 chromatograms were generated,

representing more than 3000 peaks. In order to assess accurately the reproducibility

of the chromatograms with such a large amount of data, we performed a

peak-to-peak analysis using a modified version of the GC-LC-concordance software. This

software enables the comparison of two histograms obtained after peak integration of

the chromatograms (Figure 2). The software uses a mathematical model and the

retention time error to determine the theoretical position of a peak (see methods).

Second dimension repeatability: the repeatability of the second dimension is an

important parameter to test because it gives the theoretical limit of the repeatability of

the 2D-LC experiment. To test for the second dimension repeatability, the same

series of first dimension fractions were used several times for a second dimension

fractionation. The use of a C18 NPS column in association to a UV detector at 214

nm enables the detection of proteins in the nanogram up to the microgram range

(13). For this reason the chromatograms were analyzed with a dynamic range of 103.

When testing the reproducibility of a simple chromatogram containing about 30

peaks, the peak concordance between chromatograms was 100% (Figure 3A).

The most complex chromatogram of a 2D-LC experiment is generally obtained with

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the fraction of basic proteins (pI > 8.5) not retained by the column. We injected this

fraction in triplicate onto the NPS column and we obtained chromatograms of about

80 peaks (Figure 3B). With these complex chromatograms, the peak concordance

between chromatograms was 96.76 ± 0.98 % (n = 3) .

The lower concordance rate for complex chromatograms may be due to different

factors. First, it is important to note that most of the peaks are not well resolved in

these complex chromatograms. Indeed, MS analysis of 2D-LC peaks has shown that

most of the peaks are in fact composed of a mixture of proteins. A large peak can

contain 10, 20 or even more proteins. Therefore, the peak integration of such

chromatograms is a critical step, since a small change in a shoulder slope can be

responsible for a different integration of the same peak between two chromatograms.

As a result, the same peak will be split into two peaks in one case and not in the

other, creating a mismatch immediately detected during the software processing of

the chromatograms. Second, this decreased concordance rate may be the result of

local deformations of the chromatograms, due to slight variations in the ACN gradient

between experiments. An example of these local deformations is shown on Fig 3B,

where we observed that the first peaks of the top chromatogram had a slightly higher

retention time than the 2 other chromatograms. While not globally affecting the rest of

the chromatogram, this nevertheless impacted the resolution of peaks located at

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around 12 min (Fig 3B).

In any event, the concordance rates remained remarkably high, and our results

indicate that the second dimension is repeatable enough to detect small changes in

peak intensities.

2D proteins maps: Three 2D maps were obtained after subjecting aliquots of the

same protein extract to the whole PF2D fractionation procedure, including sample

preparation. The maps were obtained with a starting protein amount of 1.5 mg. In

some fractions, the protein amount was barely sufficient to obtain a good UV signal,

stressing the necessity of using at least 1.5 mg of protein to obtain a satisfactory map

when working with a whole proteome. A visual inspection of the maps revealed good

similarities and the differential maps displayed peaks of small intensities, indicating a

good reproducibility of the experiments (data not shown).

A peak-to-peak analysis of all chromatograms was performed, leading to an accurate

measurement of the reproducibility. Results of the map-to-map reproducibility are

displayed in Table I.

When performing the overall analysis of the reproducibility between all three

experiments, we concluded that the mean peak concordance was 90.19 ± 4.26 % (n=

54). It should be stressed that these values reflect faithfully the reproducibility of the

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whole fractionation procedure, including not only the two HPLC steps of 2D-LC but

also the last steps of sample preparation, in particular the gel filtration step, and the

potential impact of sample storage.

In order to explain the slight variations in reproducibility observed between the three

performed experiments, we calculated the residual sum of squares (RSS) for each

couple of curves of the pH gradients. The RSS is an evaluation of the distance

between two pH curves and we found that the RSS(#1,#2) = 6.7, the RSS(#2,#3) =

8.19 and the RSS(#1,#3) = 13.62. Therefore, it appears that the most reproducible

maps have also the most reproducible pH curves, further stressing the importance of

this initial fractionation step and the interest of the improvements tested herein. In any

event, it remains clear that the reproducibility of a fractionation experiment using

PF2D depends on several, non exclusive parameters: the reproducibility of the

sample preparation and the effect of sample storage, the reproducibility of the pH

curves during the fractionation and the reproducibility of the second dimension

gradient. Our results indicate that the reliability of fractionation using PF2D is well

suited to perform an accurate differential proteomic study. It should nevertheless be

kept in mind that this two-dimensional fractionation method will not permit the

complete fractionation of all the proteins from a global cell extract and that the UV

intensity of a peak reflects the signal of a mixture of proteins. However, the high level

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of reproducibility of the 2D maps, as demonstrated in this study, enables a quick

identification of the fractions in which an abundant protein is responsible for a UV

change. In addition, when a subproteome is analyzed by 2D-LC, the resulting peaks

are sharper and less coelution is observed (14). In most cases, a subsequent

quantification strategy by MS will nevertheless be required to evaluate the amount of

each protein individually, either at the level of the intact protein (15) or at the peptide

level after tryptic digestion (12).

Conclusions

Here, we provide the first comprehensive assessment of protein fractionation using

PF2D, by performing a systematic peak-to-peak measurement of 2D-LC

reproducibility. We took advantage of recent hardware and software improvements in

the chromatofocusing step of 2D-LC, in particular the use of a new pH electrode

giving accurate measurements under pressure combined with a software modification

enabling a fractionation based on fixed pH values. Our results demonstrate the high

level of reproducibility of the PF2D system, indicating its suitability for differential

proteomic studies.

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Acknowledgements

This work was supported by grants from INSERM, from Région Midi-Pyrénées, from

the Genopôle and Canceropôle Grand-Sud-Ouest and from an

ANR-06-MIME-005-01 grant to DGD. ES is a recipient of a "poste d'accueil" from INSERM.

DGD is supported by the CNRS.

The authors would like to acknowledge Beckman Coulter and especially Jerald S.

Feitelson, Michael Simonian and Jeff Chapman for their support and for providing the

prototype electrode and software patches. Raymond Loyer, from Spectrochrom, is

acknowledged for providing the GC-LC-concordance software and for his useful

collaboration in the tuning of the mathematical parameters.

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3. Issaq, H.J. and Veenstra, T.D. (2007) The role of electrophoresis in disease

biomarker discovery. Electrophoresis 28, 1980-1988

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Protein fingerprints of anti-cancer effects of cyclin-dependent kinase inhibition:

identification of candidate biomarkers using 2-d liquid phase separation coupled to

mass spectrometry. Technol. Cancer Res. Treat. 4, 447-454

5. Lubman, D.M., Kachman, M.T., Wang, H., Gong, S., Yan, F., Hamler, R.L.,

O'Neil, K.A., Zhu, K., Buchanan, N.S. and Barder, T.J. (2002) Two-dimensional liquid

separations-mass mapping of proteins from human cancer cell lysates. J.

Chromatogr. B Analyt. Technol. Biomed. Life Sci. 782, 183-196

6. Zhu, K., Zhao, J., Lubman, D.M., Miller, F.R. and Barder, T.J. (2005) Protein pI

shifts due to posttranslational modifications in the separation and characterization of

proteins. Anal. Chem. 77, 2745-2755

7. McDonald, T., Sheng, S., Stanley, B., Chen, D., Ko, Y., Cole, R.N., Pedersen,

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P. and Van Eyk, J.E. (2006) Expanding the subproteome of the inner mitochondria

using protein separation technologies: one- and two-dimensional liquid

chromatography and two-dimensional gel electrophoresis. Mol. Cell Proteomics 5,

2392-2411

8. Li, X., Gong, Y., Wang, Y., Wu, S., Cai, Y., He, P., Lu, Z., Ying, W., Zhang, Y.,

Jiao, L., He, H., Zhang, Z., He, F., Zhao, X. and Qian, X. (2005) Comparison of

alternative analytical techniques for the characterisation of the human serum

proteome in hupo plasma proteome project. Proteomics 5, 3423-3441

9. Park, K.H., Lipuma, J.J. and Lubman, D.M. (2007) Comparative proteomic

analysis of b. cenocepacia using two-dimensional liquid separations coupled with

mass spectrometry. Anal. Chim. Acta 592, 91-100

10. Soldi, M., Sarto, C., Valsecchi, C., Magni, F., Proserpio, V., Ticozzi, D. and

Mocarelli, P. (2005) Proteome profile of human urine with two-dimensional liquid

phase fractionation. Proteomics 5, 2641-2647

11. Yan, F., Subramanian, B., Nakeff, A., Barder, T.J., Parus, S.J. and Lubman,

D.M. (2003) A comparison of drug-treated and untreated hct-116 human colon

adenocarcinoma cells using a 2-d liquid separation mapping method based upon

chromatofocusing pI fractionation. Anal. Chem. 75, 2299-2308

12. Old, W.M., Meyer-Arendt, K., Aveline-Wolf, L., Pierce, K.G., Mendoza, A.,

Sevinsky, J.R., Resing, K.A. and Ahn, N.G. (2005) Comparison of label-free methods

for quantifying human proteins by shotgun proteomics. Mol. Cell Proteomics 4,

1487-1502

13. Dauly, C., Perlman, D.H., Costello, C.E. and McComb, M.E. (2006) Protein

separation and characterization by np-rp-hplc followed by intact maldi-tof mass

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spectrometry and peptide mass mapping analyses. J. Proteome Res. 5, 1688-1700

14. Cussac, D., Pichereaux, C., Colomba, A., Capilla, F., Pont, F., Gaits-Iacovoni,

F., Lamant, L., Espinos, E., Burlet-Schiltz, O., Monsarrat, B., Delsol, G. and

Payrastre, B. (2006) Proteomic analysis of anaplastic lymphoma cell lines:

identification of potential tumour markers. Proteomics 6, 3210-3222

15. Zhao, J., Chang, A.C., Li, C., Shedden, K.A., Thomas, D.G., Misek, D.E.,

Giordano, T.J., Beer, D.G. and Lubman, D.M. (2007) Comparative proteomic analysis

of barrett's metaplasia and esophageal adenocarcinomas using 2-d liquid mass

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Figure Legends

Figure 1. Reproducibility of the pH gradients using the optimized PF2D system.

pH gradients from experiments #1(circles), #2 (squares), #3 (diamonds) generated

during the chromatofocusing step. The gradients were generated inside the

chromatofocusing column by injecting an eluent buffer at pH 4.0 in the column,

previously equilibrated with the start buffer at pH 8.5. Vertical dotted lines represent

the fractions limits, which start at pH 8.3 and end at pH 4.0. The software patch SP1

enables fractions from each experiment to have exactly the same pH limits.

Figure 2. Comparative chromatogram analysis using the GC-LC-concordance software. Screenshot of one analysis output. The chromatograms were integrated

and converted into histograms, with bar lengths being proportional to the original

peak surface. Two mirroring histograms are represented in black. Concording peaks

are linked together by blue lines, while non-concording peaks are tagged with a red

line.

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Figure 3. Representative examples of the repeatability of 2D-LC fractionation.

Top: protein UV (214nm) profiles obtained after two injections of the same first

dimension fraction (pH 6.8-7.1) on a C18 NPS column. Inset: detail of the peak

integration performed by the 32karat software for the analysis. The inset table shows

the results of peak concordance.

Bottom: protein UV (214nm) profiles obtained after three injections of the same first

dimension fraction (pH>8.5) on a C18 NPS column. The inset table shows the results

of peak concordance.

Tables

TABLE 1: Mean peak concordance between 2D maps (%)

Peak concordance Map #2 Map #3 Map #1 w/o 91.59 ± 3.99 89.24 ± 3.16

# of concording peaks 1062 1067 Map #3 w/o 89.76 ± 5.24 NA1

# of concording peaks 1074 NA1 Results are expressed as mean ± SD (n = 18). 1 not applicable

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Figures

Figure 1.

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Figure 2.

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Figure

Figure 3. Representative examples of the repeatability of 2D-LC fractionation.

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The anisotropic crystalline electron gas with a short range (Hubbard) interaction has been shown to display a non-FL behavior close to half filling [8] due to effects of

High pressure measurements of the refractive indices of two nematic liquid